You’ve decided you want to plant for your room. At gardening store, there 4 different kinds of plants (tulip fern cactus, and ficus) and 4 kinds of pots to hold the plants ( clay pot , plastic pot, metal pot, and wood pot).

Answer:

1/5

Step-by-step explanation:

(0, -2) & (-5, -3)

slope formula: (y₂ - y₁) / (x₂ - x₁)

(-3 + 2) / (-5 - 0) =

(-1) / (-5) =

1/5

Answer:

1/5

Step-by-step explanation:

1. Put numbers into Slope Formula

2. Solve formula to get \(\frac{-1}{-5}\)

3. Simplify to get 1/5

Answer:

16

Step-by-step explanation:

Let the number = x

x + x/2 - 20 = 1/4 x

3/2 x - 20 = 1/4x             Multiply by 4

3*2 x - 80 = x

6x - 80 = x

6x - x - 80 = 0

5x - 80 = 0

5x = 80

x = 16

Check

16 + 8 - 20 = 1/4 * 16

24 - 20 = 4

4 = 4

Answer:  15 : 16

Step-by-step explanation:

x : y              y : z

3 : 1              4 : 3

Find the LCM for both y's.  LCM = 4

     x : y                        y : z

3(4) : 1(4)                      4 : 3

 12 :  4                         4 : 3

-->    x : y : z = 12 : 4 : 3

 (x + z) : (x + y)

12 + 3 : 12 + 4

   15   :     16

If you started with 100 grams of radon-222 and it has a half-life of 2.183 days, after 4 days, 46.6 grams of radon-222 will remain.

The half-life of a radioactive element is the time it takes for half of the atoms in a sample to decay. This means that after one half-life, the amount of the element remaining will be half of the original amount. After two half-lives, the amount remaining will be a quarter of the original amount, and so on.

To find the amount of radon-222 remaining after 4 days, we can divide the length of time by the half-life to find out how many half-lives have passed. In this case, 4 days / 2.183 days = 1.84 half-lives. This means that the amount of radon-222 remaining will be a quarter of the original amount.

If we started with 100 grams of radon-222 and a quarter remains after 1.84 half-lives, the amount remaining will be 100 grams * 0.25 = 46.6 grams.

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The necklaces will be sold for $8.75.

All you have to do is devide 201.25 by 23 and you will get your answer.

Answer:

(0,6)

Step-by-step explanation:

The y intercept is where the line crosses the y axis or the coordinate where x = 0.

Here, when x is equal to 0, y is equal to 6 meaning that the y intercept is at (0,6)

a. To find the Taylor series for f(x) = e^x centered at a = -3, we can use the general formula for the Taylor series of a function f(x) at a:

f(x) = f(a) + f'(a)(x-a)/1! + f''(a)(x-a)^2/2! + f'''(a)(x-a)^3/3! + ...

First, let's find the first few derivatives of f(x) = e^x:

f(x) = e^x

f'(x) = e^x

f''(x) = e^x

f'''(x) = e^x

...

Now, substituting these derivatives and the value of a = -3 into the general formula, we get:

e^x = e^-3 + e^-3(x+3)/1! + e^-3(x+3)^2/2! + e^-3(x+3)^3/3! + ...

This is the Taylor series for e^x centered at a = -3.

b. To find the Taylor series for g(x) = e^{3x} centered at a = 0, we can again use the general formula for the Taylor series:

g(x) = g(a) + g'(a)(x-a)/1! + g''(a)(x-a)^2/2! + g'''(a)(x-a)^3/3! + ...

First, let's find the first few derivatives of g(x) = e^{3x}:

g(x) = e^{3x}

g'(x) = 3e^{3x}

g''(x) = 9e^{3x}

g'''(x) = 27e^{3x}

...

Substituting these derivatives and the value of a = 0 into the general formula, we get:

e^{3x} = 1 + 3x/1! + 9x^2/2! + 27x^3/3! + ...

This is the Taylor series for e^{3x} centered at a = 0.

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Explanation:

All direct proportion equations are straight lines that go through the origin.

In this case, the constant of proportionality is 5 because of the following

Each x,y set of values are selected from the points in the graph. The equation of the green line is y = 5x with slope 5 and y intercept 0.

Furthermore, that slope 5 indicates that the unit rate is 5 gallons per minute.

\(\huge{\textbf{\textsf{{\color{navy}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}\)

Answer:

The population of the world is 200 times of the population of Canada.

Step-by-step explanation:

Given that,

Canada's population = \(3.5\times 10^7\)

The population of world =  \(7.0\times 10^9\)

We need to find how many times larger is the population of the world compared to Canada's population. It can be solved as follows :

\(\dfrac{W}{C}=\dfrac{7.0\times 10^9}{3.5\times 10^7}\\\\\dfrac{W}{C}=200\\\\W=200C\)

So, the population of the world is 200 times of the population of Canada.

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following function:

In a function, to move it to the right or to the left we must add if we want to move to the left and we must subtract if we want to move to the right.

But we must add or subtract within the exponent, since it moved 2 to the right we must subtract 2 units, just like this:

The length of the third side of the triangle with a perimeter of 7x + 8 is 2x + 3

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

A triangle is a polygon that has three sides. The perimeter of a triangle is the sum of all the three sides.

Hence:

Perimeter of triangle = side 1 + side 2 + side 3

A triangle has a perimeter of 7x + 8. the first side of the triangle has a length of 3x, and the second side has a length of 2x − 5.

Hence:

Perimeter of triangle = side 1 + side 2 + side 3

7x + 8 = 3x + (2x - 5) + side 3

7x + 8 = (5x - 5) + side 3

side 3 = 7x + 8 - (5x - 5)

side 3 = 2x + 13

The length of the third side is 2x + 3

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Answer:

29

Step-by-step explanation:

you could just plug in all you have done into a calculator unless step by step would be:

PEMDAS

-16(1.5)^2 + 10(1.5) + 50

-16(2.25) + 10(1.5)+50

-36 + 15 + 50

-36 + 65

29

Answer:

Step-by-step explanation:

a. 660: 2^2 x 3 x 5 x 11

b. 448: 2^6 x 7

c. 1025: 5^2 x 41

d. 2^2 x 3^2 x 5^2

Answer:

a.) 2^2 x 3 x 5 x 11, b.) 2^6 x 7, c.) 5 x 2 x 41, d.) 3^2 x 2^2 x 5^2

Step-by-step explanation:

660 ----> 2,330---> 3,110 ----> 10,11 ---> 2,5

so we have 2 x 2 x 3 x 5 x 11.

448 ---> 2,224 ---> 2,112 ----> 2,56 ----> 2,28 ----> 2,14 ----> 2,7

so we have 2 x 2 x 2 x 2 x 2 x 2 x 7 or 2^6 x 7

1025 ---> 5,205 ----> 5,41

so we have 5 x 5 x 41 or 5^2 x 41

900 ----> 9,100 where the 9 splits in 3 x 3, and the 100 splits into 10,10, then each 10,10 splits into 2,5

therefore we have 3 x 3 x 2 x 5 x 2 x 5 or 3^2 x 2^2 x 5^2

The formula will return 5, because none of the conditions in the nested IF statement are true for the value of A1 being "C".

The formula =IF(A1="A",1,IF(A1="B",2,IF(A1="D",4,5))) is a nested IF statement that checks the value of cell A1 and returns a corresponding value based on the conditions.

In this case, the value of A1 is "C". Therefore, the first condition, A1="A", is not true, so the formula moves on to the second condition, A1="B". This condition is also not true, so the formula moves on to the third condition, A1="D". However, this condition is also not true, because the third condition has a typo, where there is an extra space before the "D". Therefore, the formula evaluates the final "else" option, which is 5.

Thus, the formula will return 5, because none of the conditions in the nested IF statement are true for the value of A1 being "C".

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If the lower limit of one of the objective function coefficients is 19 and it is changed to 18.99 (while the coefficient was originally 24), it means that the coefficient is being decreased.

This change in the coefficient value may affect the optimal solution of the linear programming problem. The new coefficient of 18.99 would make the corresponding variable less valuable or less desirable in the objective function compared to its original value of 24. This can potentially lead to a different optimal solution or a change in the objective function value.

The impact of this change on the overall solution depends on the specific problem and its constraints. It would be necessary to re-evaluate the linear programming problem with the updated coefficient value to determine its effects on the optimal solution and the objective function value.

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Answer:

it is 7200 Liters

Step-by-step explanation:

Brainliest?

The box plot that corresponds to the given dot plot data is the one with the aforementioned characteristics.

To determine which box plot represents the dot plot data, we need to analyze the given dot plot. Based on the dot plot, we can see that the score of 24 has 1 dot, 26 has 3 dots, 27 has 3 dots, 28 has 5 dots, 30 has 3 dots, 32 has 3 dots, and 35 has 1 dot.

To create a box plot, we need to determine the five-number summary, which includes the minimum, first quartile, median, third quartile, and maximum. The minimum value is 24, as there is a dot at this score. The first quartile (Q1) is 26, as there are three dots at this score. The median is 28, as there are five dots at this score. The third quartile (Q3) is 32, as there are three dots at this score.

The maximum value is 35, as there is a dot at this score. Now, we can use the five-number summary to determine which box plot represents the dot plot data. The box plot with the lower whisker at 24, Q1 at 26, median at 28, Q3 at 32, and upper whisker at 35 represents the dot plot data. In conclusion, the box plot that corresponds to the given dot plot data is the one with the aforementioned characteristics.

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To show that f(x, t) = g(x + ct) + h(x - ct) is a solution of the one-dimensional wave equation: \(c^2 * d^2f / dx^2 = d^2f / dt^2\) we need to substitute f(x, t) into the wave equation and verify that it satisfies the equation.

First, let's compute the second derivative of f(x, t) with respect to x:

\(d^2f / dx^2 = d^2/dx^2 [g(x + ct) + h(x - ct)]\)

Using the chain rule, we can find the derivatives of g(x + ct) and h(x - ct) separately:

\(d^2f / dx^2 = d^2/dx^2 [g(x + ct)] + d^2/dx^2 [h(x - ct)]\)

For the first term, we can use the chain rule again:

\(d^2/dx^2 [g(x + ct)] = d/dc [dg(x + ct) / d(x + ct)] * d/dx [x + ct]\)

Since dg(x + ct) / d(x + ct) does not depend on x, its derivative with respect to x will be zero. Additionally, the derivative of (x + ct) with respect to x is 1.

Therefore, the first term simplifies to:

\(d^2/dx^2 [g(x + ct)] = 0 * 1 = 0\)

Similarly, we can compute the second term:

\(d^2/dx^2 [h(x - ct)] = d/dc [dh(x - ct) / d(x - ct)] * d/dx [x - ct]\)

Again, since dh(x - ct) / d(x - ct) does not depend on x, its derivative with respect to x will be zero. The derivative of (x - ct) with respect to x is also 1.

Therefore, the second term simplifies to:

\(d^2/dx^2 [h(x - ct)] = 0 * 1 = 0\)

Combining the results for the two terms, we have:

\(d^2f / dx^2 = 0 + 0 = 0\)

Now, let's compute the second derivative of f(x, t) with respect to t:

\(d^2f / dt^2 = d^2/dt^2 [g(x + ct) + h(x - ct)]\)

Again, we can use the chain rule to find the derivatives of g(x + ct) and h(x - ct) separately:

\(d^2f / dt^2 = d^2/dt^2 [g(x + ct)] + d^2/dt^2 [h(x - ct)]\)

For both terms, we can differentiate twice with respect to t:

\(d^2/dt^2 [g(x + ct)] = d^2g(x + ct) / d(x + ct)^2 * d(x + ct) / dt^2\)

                          \(= c^2 * d^2g(x + ct) / d(x + ct)^2\)

\(d^2/dt^2 [h(x - ct)] = d^2h(x - ct) / d(x - ct)^2 * d(x - ct) / dt^2\)

                          \(= c^2 * d^2h(x - ct) / d(x - ct)^2\)

Combining the results for the two terms, we have:

\(d^2f / dt^2 = c^2 * d^2g(x + ct) / d(x + ct)^2 + c^2 * d^2h(x - ct) / d(x - ct\)

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Answer:

s = 10

Step-by-step explanation:

you can solve this by the equation 120 / 12 = s. S = 10. so when you do the opposite and multiply 10 by 12 you get 120. Hope this helps.

According to the sum of n terms in geometric progression, the total time she took to complete her first five homework assignments is 219 minutes.

The time taken to complete first assignment is 70 minutes.

She takes 0.8 times as long to complete each homework assignment as she took to complete the preceding assignment.

This shows that the given series is in geometric progression, where

a = first term = 70

r = common ratio = 0.8

The sum of first n terms in geometric progression is given by,

Sₙ = a (rⁿ - 1) / r - 1

S₅ = 70 (0.8⁵ - 1) / 0.8 - 1

S₅ = 219

Therefore, the total time she took to complete her first five homework assignments is 219 minutes.

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The correct answer is option C. A sampling plan refers to a detailed strategy for obtaining a sample from a population for the purpose of data collection.

It describes the precise procedures needed to choose the sample, determine the members of the sample, and gather the data.

The sampling strategy should take into account the type of sampling design, sample size, sampling process, and the methods to be employed for data collecting.

The strategy for implementing sampling should be outlined in the plan, along with instructions on how to make sure the sample is representative of the population, how to prevent bias in the sampling process, and how to make sure the data gathered is of high quality.

A good sampling plan should provide a clear and consistent method for gathering data and be founded on basic statistical concepts.

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The interquartile range (IQR) of the given data = Upper Quartile (Q3) - Lower Quartile (Q1) = 121.

The interquartile range (IQR) = Upper Quartile (Q3) - Lower Quartile (Q1)

Given the data:

87, 102, 131, 132, 155, 173, 178, 204, 211, 244, 253, 278, 301, 371

Upper quartile (Q3) = 253

Lower Quartile (Q1) = 132

Interquartile range (IQR) of the data = 253 - 132

Interquartile range (IQR) of the data = 121

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Answer:

Distance travel by Monica = 628 ft

Step-by-step explanation:

Given:

Radius of whee l = 1 ft

Number of revolution = 100

Find:

Distance travel by Monica

Computation:

Distance travel by Monica = 100[Circumference of wheel]

Distance travel by Monica = 100[2πr]

Distance travel by Monica = 100[2(3.14)(1)]

Distance travel by Monica = 100[6.28]

Distance travel by Monica = 628 ft

Answer:

-4 :)

Step-by-step explanation:

2(\(\frac{1}{2}\)\()^{3}\) + 3\(\frac{1}{4}\) - 5 = -4

Answer:

Days       Hours

  1              24

  2             48

  3             72

  4             96

  5            120

  6            144

Step-by-step explanation:

hope this helped:) just add lines and it will be a table

Answer:

There are infinite solutions

Step-by-step explanation:

2 (4x + 10) = 8x + 20

Distribute 2(4x + 10)

8x + 20 = 8x + 20

They equal each other meaning they are infinite solution

Answer:

-1,6 are the answers for the question

Step-by-step explanation:

please give me brainlest